112777344 has 96 divisors (see below), whose sum is σ = 326726400. Its totient is φ = 37338624.

The previous prime is 112777321. The next prime is 112777361. The reversal of 112777344 is 443777211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 112777299 and 112777308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 256677 + ... + 257115.

It is an arithmetic number, because the mean of its divisors is an integer number (3403400).

Almost surely, 2^112777344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112777344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163363200).

112777344 is an abundant number, since it is smaller than the sum of its proper divisors (213949056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112777344 is a wasteful number, since it uses less digits than its factorization.

112777344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 667 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 112777344 is about 10619.6677914142. The cubic root of 112777344 is about 483.1410670345.

The spelling of 112777344 in words is "one hundred twelve million, seven hundred seventy-seven thousand, three hundred forty-four".